A certain number of two digits is three times the sum of its digits and if 45 be added to it, the digits are reversed. The number is ?
A. 23
B. 27
C. 32
D. 72
Answer: Option B
Solution(By Examveda Team)
Let the ten's digit be x and unit's digit be yThen,
$$\eqalign{ & \Rightarrow 10x + y = 3\left( {x + y} \right) \cr & \Rightarrow 7x - 2y = 0.....(i) \cr & 10x + y + 45 = 10y + x \cr & \Rightarrow y - x = 5.....(ii) \cr} $$
Solving (i) and (ii), we get :
x = 2 and y = 7
∴ Required number = 27
Related Questions on Problems on Numbers
If one-third of one-fourth of a number is 15, then three-tenth of that number is:
A. 35
B. 36
C. 45
D. 54
E. None of these
A. 9
B. 11
C. 13
D. 15
E. None of these
A. 3
B. 4
C. 9
D. Cannot be determined
E. None of these
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